We now come to two volume set on Introduction to Topology by Yu. Borisovich, N. Bliznyakov, Ya. Izrailevich, T. Fomenko.

This is a two volume book set, which has 5 sections in all. It is based on lectures delivered by Yu. G. Borisovich at Mathematics Department of Voronezh University. Each of
the section is preceeded by an illustration which has a lot of mathematical content which are by Prof. A. T. Fomenko.

About the book

This textbooks is one of the many possible variants of a first course in topology and is written in accordance with both the author’s preferences and their experience as lecturers and researchers. It deals with those areas of topology that are most closely related to fundamental courses in general mathematics and applications. The material leaves a lecturer a free choice as to how he or she may want to design his or her own topology course and seminar classes.

The books were translated from the Russian by Oleg Efimov and was
first published by Mir Publishers in 1980.

Thanks to the original uploader for the scan.

Note: The scan quality is poor and text is barely readable at
times. We have added OCR, which is not reliable, reduced file size, combined 2 pdfs into
one, bookmarked and paginated and pdfs. Vol. 1 and Vol. 2 which are
physically separate books have been combined in one single pdf. The
page numbering is continuous between the two volumes. Page 147 onwards are
the contents of Vol. 2. We have access to the hard copies, and might see a better version in the future.

1. What is topology? 11
2. Generalization of the concepts of space and function 15
3. From a metric to topological space 18
4. The notion of Riemann surface 28
5. Something about knots 34
Further Reading 37

This is a dead link. I downloaded the zip file so I could continue reading the book I had purchased but that I can’t find right now. It was 23 MB. When I went to extract it, an error saying no extract location came. I am not sure if this is a virus.

Your better bet is to get this book from a library. It is there in yeshiva university and columbia university. It takes less than an hour to scan it with their machines. Then you can use it for your own purposes.